An inverse source problem connected with thermoacoustic imaging in multi-layer planar medium

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dc.authorid0000-0001-8769-9173
dc.authorid0000-0001-9126-8384
dc.contributor.authorYücel, Hazelen_US
dc.contributor.authorÜnalmış Uzun, Banuen_US
dc.date.accessioned2019-05-08T00:04:08Z
dc.date.available2019-05-08T00:04:08Z
dc.date.issued2019-02-20
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe derived analytical forward and inverse solution of thermoacoustic wave equation for nonhomogeneous medium. We modelled the nonhomogeneous medium as a multi-layer planar medium and defined initial conditions, continuity conditions on the layer boundaries and radiation conditions at infinity assuming the source distribution existing in all layers. These solutions of thermoacoustic wave equation are based on the method of Green’s functions for layered planar media. For qualitative testing and comparison of the point-spread functions associated with the homogeneous and layered solutions, we performed numerical simulations. Our simulation results showed that the conventional inverse solution based on homogeneous medium assumption, as expected, produced incorrect locations of point sources, whereas our inverse solution involving the multi-layer planar medium produced point sources at the correct source locations. Also, we examined whether the performance of our layered inverse solution is sensitive to medium parameters used as priority information in the measured data. Our inverse solutions based on multi-layer planar media are applicable for cross-sectional two-dimensional imaging of abdominal structure and the organs such as breast and skin.en_US
dc.description.sponsorshipThis work was supported by TUBITAK of Turkey through ARDEB-1003 Program under Grant 213E038. We are immensely grateful to Prof. Dr. Mustafa Karaman who provided insight and expertise that assisted the research. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliationsen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationÜnalmış Uzun, B. & Yücel, H. (2019). An inverse source problem connected with thermoacoustic imaging in multi-layer planar medium. Journal of Mathematical Imaging and Vision, 61(6), 874-884. doi:10.1007/s10851-019-00875-2en_US
dc.identifier.doi10.1007/s10851-019-00875-2
dc.identifier.endpage884
dc.identifier.issn0924-9907
dc.identifier.issn1573-7683
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85061704258
dc.identifier.scopusqualityQ2
dc.identifier.startpage874
dc.identifier.urihttps://hdl.handle.net/11729/1586
dc.identifier.urihttp://dx.doi.org/10.1007/s10851-019-00875-2
dc.identifier.volume61
dc.identifier.wosWOS:000475765100007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorYücel, Hazelen_US
dc.institutionauthorÜnalmış Uzun, Banuen_US
dc.institutionauthorid0000-0001-8769-9173
dc.institutionauthorid0000-0001-9126-8384
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Mathematical Imaging and Visionen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGreen’s functionsen_US
dc.subjectInverse source problemen_US
dc.subjectThermoacoustic imagingen_US
dc.subjectTomographyen_US
dc.subjectComputerized tomographyen_US
dc.subjectMedical imagingen_US
dc.subjectOptical transfer functionen_US
dc.subjectThermoacousticsen_US
dc.subjectWave equationsen_US
dc.subjectContinuity conditionsen_US
dc.subjectNonhomogeneous mediumen_US
dc.subjectS functionen_US
dc.subjectSource distributionen_US
dc.subjectThermo-acoustic wavesen_US
dc.subjectTwo-dimensional imagingen_US
dc.subjectInverse problemsen_US
dc.titleAn inverse source problem connected with thermoacoustic imaging in multi-layer planar mediumen_US
dc.typeArticleen_US
dspace.entity.typePublication

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